Question

Rolle’s theorem is a special case of _____

(a) Euclid’s theorem

(b) another form of Rolle’s theorem

(c) Lagrange’s mean value theorem

(d) Joule’s theorem

I have been asked this question in an interview for internship.

I need to ask this question from Mean Value Theorem topic in portion Continuity and Differentiability of Mathematics – Class 12

Answer 1

The correct option is (c) Lagrange’s mean value theorem

Easy explanation: Rolle’s theorem is just a special case of Lagrange’s mean value theorem when f(a) = f(b) and Lagrange’s mean value theorem is also called the mean value theorem.